Translator’s Preface to J. Milnor’s book ″Morse Theory″

  • Vladimir I. Arnold
Part of the Vladimir I. Arnold - Collected Works book series (ARNOLD, volume 2)


Milnor’s book is a textbook on Morse theory. Starting with the simplest example and finishing with Bott’s Periodicity theorem, the exposition remains geometrically intuitive but rigorous. It is modern but also elegant; it is extensive but also self-contained: the necessary facts from differential geometry, calculus of variations, and so on, are derived in the book itself in a form required by the author.


Homotopy Class Homotopy Group Closed Geodesic Morse Theory Differentiable Manifold 
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Copyright information

© MIR, Moscow 1965

Authors and Affiliations

  • Vladimir I. Arnold
    • 1
  1. 1.HeidelbergGermany

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